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Elementary Differential Geometry By A.N. Pressley

Elementary Differential Geometry

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Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject.

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Elementary Differential Geometry Summary


Elementary Differential Geometry by A.N. Pressley

Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum - nothing beyond first courses in linear algebra and multivariable calculus - and the most direct and straightforward approach is used throughout.

New features of this revised and expanded second edition include:

  • a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book.

  • Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature.
  • Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com
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Elementary Differential Geometry Reviews


. Gouvea, The Mathematical Association of America, May, 2010)

About A.N. Pressley


Andrew Pressley is Professor of Mathematics at King's College London, UK.

Table of Contents


Curves in the plane and in space.- How much does a curve curve?.- Global properties of curves.- Surfaces in three dimensions.- Examples of surfaces.- The first fundamental form.- Curvature of surfaces.- Gaussian, mean and principal curvatures.- Geodesics.- Gauss' Theorema Egregium.- Hyperbolic geometry.- Minimal surfaces.- The Gauss-Bonnet theorem.

Additional information

GOR010756610
Elementary Differential Geometry by A.N. Pressley
A.N. Pressley
Springer Undergraduate Mathematics Series
Used - Like New
Paperback
Springer London Ltd
2009-11-01
474
184882890X
9781848828902
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
The book has been read, but looks new. The book cover has no visible wear, and the dust jacket is included if applicable. No missing or damaged pages, no tears, possible very minimal creasing, no underlining or highlighting of text, and no writing in the margins.